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Arisa [49]
3 years ago
15

Factor completely -5x 2 y + 10xy - 15xy 2

Mathematics
2 answers:
victus00 [196]3 years ago
8 0

-5x^2 y + 10xy - 15xy^2

= -5xy(x - 2 + 3y)

Tems11 [23]3 years ago
4 0
<h2>Answer:</h2>

The factorization is given by:

                5xy(-x+2-3y)  

or we may write it as:

           -5xy(x-2+3y)

<h2>Step-by-step explanation:</h2>

We are asked to factor the algebraic expression which is given by:

                    -5x^2y+10xy-15xy^2

To factor a algebraic expression means to represent the expression in the most simplest form.

i.e. if the terms of the expression have a common factor then we take out common the factor and write the remaining expression in the parentheses.

By looking at the expression we observe that the all the three terms of the expression have a common multiple as: 5xy

Hence, the expression could be written as:

 -5x^2y+10xy-15xy^2=5xy(-x+2-3y)

which could also be written as:

 -5x^2y+10xy-15xy^2=-5xy(x-2+3y)

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Six Pepperidge Farm bagels were weighed, yielding the following data (grams):
ratelena [41]

Answer:

A) Average weight = 112.97

standard deviation = 3.913

B) 119.4069

Step-by-step explanation:

A) Estimate the true average weight and standard deviation of the weight

attached below is a detailed solution

Average weight = 112.97

standard deviation = 3.913

B) Assuming a normal distribution Estimate the weight below

attached below is a detailed solution

= 119.4069

6 0
3 years ago
Received good return from m center of rs 5000 (journal entry)​
HACTEHA [7]

Answer:

Date                  Account Title                                              Debit             Credit

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7 0
3 years ago
Find the missing side. Round your answer to the nearest hundredth.<br> х<br> 28°<br> 42 in<br> in
sleet_krkn [62]

Answer:

The length of the missing side x = 47.57 in    

Step-by-step explanation:

Given

Ф = 28°

The length of the side adjacent to the angle Ф is = 42 in

To determine

The hypotenuse x = ?

Using the trigonometric ratio

cos Ф = adjacent / hypotenuse

substitute adjacent = 42 in, hypotenuse = x and Ф = 28°

cos 28° = 42 / x

x = 42 / cos 28°

x = 47.57 in      

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6 0
3 years ago
Suppose a certain species of fawns between 1 and 5 months old have a body weight that is approximately normally distributed with
worty [1.4K]

Answer:

z

Step-by-step explanation:

Assuming this complete question:

"Suppose a certain species of fawns between 1 and 5 months old have a body weight that is approximately normally distributed with mean \mu =26 kilograms and standard deviation \sigma=4.2 kilograms. Let x be the weight of a fawn in kilograms. Convert the following z interval to a x interval.

X"

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

X \sim N(26,4.2)  

Where \mu=26 and \sigma=4.2

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

We know that the Z scale and the normal distribution are equivalent since the Z scales is a linear transformation of the normal distribution.

We can convert the corresponding z score for x=42.6 like this:

z=\frac{42.6-26}{4.2}=3.95

So then the corresponding z scale would be:

z

7 0
2 years ago
When asked to factor the trinomial x^2-16x+64, a student gives the answer (x – 8)(x + 8). Which of the following statements is t
Murrr4er [49]

Answer:

The answer is incorrect; the plus sign should be a minus sign (apex)

Step-by-step explanation:

3 0
3 years ago
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